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Efficient methods for the characterisation of qbit Hamiltonian dynamics

Joshua Combes, Center for Quantum Information and Control, University of New Mexico, USA

(Session 10a : Saturday from 5:00pm-5:30pm)

Abstract. We investigate schemes for Hamiltonian parameter estimation of a two-level system using fixed-basis projective measurements. To be concrete we consider two regimes of parameter estimation. Regime I: the coupling of qbit to the environment is negligible. However, due to manufacturing imperfections the strength ω of the Hamiltonian, H=ω σ_x/2, is unknown. Regime II: the second and more realistic case is when the qbit is weakly coupled, with strength κ, to a Markovian environment. In this situation both κ and ω must be estimated. We show that it is possible to reduce the total number of measurements required for characterisation in both cases by using measurements that are not uniformly spaced in time.